%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC037-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:39:41 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 51 ( 15 unt; 6 def)
% Number of atoms : 100 ( 26 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 92 ( 43 ~; 43 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,axiom,
! [U] :
( nil = U
| ~ ssList(U)
| ~ segmentP(nil,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ~ neq(U,V)
| U != V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( nil = sk3
| ssList(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( nil = sk3
| neq(sk5,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
( nil = sk3
| segmentP(sk4,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f209,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f282,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f322,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ~ neq(U,V)
| U != V ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f323,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f322]) ).
fof(f436,plain,
nil = sk2,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f437,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f438,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f439,plain,
nil != sk1,
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f441,plain,
( nil = sk3
| ssList(sk5) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f445,plain,
( nil = sk3
| neq(sk5,nil) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f446,plain,
( nil = sk3
| segmentP(sk4,sk5) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f455,definition,
( sQ2_spl
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f462,definition,
( sQ4_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ4_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,plain,
( sQ4_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f441,f455,f462]) ).
fof(f466,definition,
( sQ5_spl
<=> neq(sk5,nil) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( ~ sQ5_spl
| neq(sk5,nil) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f470,definition,
( sQ6_spl
<=> segmentP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ6_spl
| segmentP(sk4,sk5) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f478,plain,
( sQ4_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f445,f466,f462]) ).
fof(f479,plain,
( sQ4_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f446,f470,f462]) ).
fof(f488,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f323]) ).
fof(f489,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f488]) ).
fof(f512,plain,
nil = sk4,
inference(forward_demodulation,[status(thm)],[f436,f437]) ).
fof(f517,plain,
( ~ sQ4_spl
| nil = sk1 ),
inference(forward_demodulation,[status(thm)],[f438,f463]) ).
fof(f518,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f517,f439]) ).
fof(f519,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f518]) ).
fof(f520,plain,
( ~ sQ6_spl
| segmentP(nil,sk5) ),
inference(forward_demodulation,[status(thm)],[f512,f471]) ).
fof(f528,definition,
( sQ8_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( sQ8_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f536,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f530,f209]) ).
fof(f537,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f536]) ).
fof(f542,plain,
( ~ sQ6_spl
| nil = sk5
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[f520,f282]) ).
fof(f543,definition,
( sQ10_spl
<=> nil = sk5 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( ~ sQ10_spl
| nil = sk5 ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( ~ sQ6_spl
| sQ10_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f542,f455,f543,f470]) ).
fof(f549,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| neq(nil,nil) ),
inference(backward_demodulation,[status(thm)],[f544,f467]) ).
fof(f589,plain,
~ neq(nil,nil),
inference(resolution,[status(thm)],[f489,f209]) ).
fof(f591,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f589,f549]) ).
fof(f592,plain,
( ~ sQ5_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f591]) ).
fof(f593,plain,
$false,
inference(sat_refutation,[status(thm)],[f465,f478,f479,f519,f537,f546,f592]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC037-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.37 % Computer : n002.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Mon Sep 21 07:53:08 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.39 % Drodi V4.1.1
% 0.15/5.41 % Refutation found
% 0.15/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.44 % Elapsed time: 0.060332 seconds
% 0.15/5.44 % CPU time: 0.168903 seconds
% 0.15/5.44 % Total memory used: 108.752 MB
% 0.15/5.44 % Net memory used: 108.567 MB
%------------------------------------------------------------------------------